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Finding the Fourth Proportional to 171,624.84, 257,364.30 and 78,189.96

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Solution

The fourth proportional to 171,624.84, 257,364.30 and 78,189.96 is: 117,251.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,624.84 : 257,364.30 = 78,189.96 : x
  2. Step 2: Convert to fraction form
    171,624.84/257,364.30 = 78,189.96/x
  3. Step 3: Cross multiply
    171,624.84x = 257,364.30 × 78,189.96
  4. Step 4: Simplify right side
    171,624.84x = 20,123,304,322.43
  5. Step 5: Solve for x
    x = 20,123,304,322.43/171,624.84
  6. Step 6: Final answer
    x = 117,251.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.